MinT - Information on Result #1006942

Information on Result #1006942

Linear OOA(9¹⁰⁴, 740, F₉, 3, 36) (dual of [(740, 3), 2116, 37]-NRT-code), using extracting embedded OOA based on digital (68, 104, 740)-net over F₉, using

trace code for nets [i] based on digital (16, 52, 370)-net over F₈₁, using
- net from sequence [i] based on digital (16, 369)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 16 and N(F) ≥ 370, using
    - a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9¹⁰⁴, 740, F₉, 3, 35) (dual of [(740, 3), 2116, 36]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(9¹⁰⁷, 741, F₉, 3, 36) (dual of [(741, 3), 2116, 37]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
3	Linear OOA(9¹¹⁰, 742, F₉, 3, 36) (dual of [(742, 3), 2116, 37]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(9¹⁰⁵, 740, F₉, 3, 36) (dual of [(740, 3), 2115, 37]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(9¹²², 750, F₉, 3, 36) (dual of [(750, 3), 2128, 37]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
6	Linear OOA(9¹²³, 756, F₉, 3, 36) (dual of [(756, 3), 2145, 37]-NRT-code)	[i]
7	Linear OOA(9¹²⁴, 760, F₉, 3, 36) (dual of [(760, 3), 2156, 37]-NRT-code)	[i]
8	Linear OOA(9¹²⁵, 768, F₉, 3, 36) (dual of [(768, 3), 2179, 37]-NRT-code)	[i]
9	Linear OOA(9¹²⁶, 770, F₉, 3, 36) (dual of [(770, 3), 2184, 37]-NRT-code)	[i]
10	Linear OOA(9¹²⁷, 772, F₉, 3, 36) (dual of [(772, 3), 2189, 37]-NRT-code)	[i]